MADISON - Attorney General Brad Schimel’s justice department published a trove of statistics Tuesday about domestic violence in Wisconsin.

Here are four quick takeaways:

1. Immediate arrests less common

In 2016, the most recent year of data available, Wisconsin police agencies logged nearly 19,900 arrests stemming from domestic violence incidents with 76.4 percent of arrests occurring at the time that the incident happened.

In 2013, about 88.4 percent of arrests happened at the time of the incident rather than afterward.

2. Prosecutors seek weaker charges than police

From 2013 to 2016, the most serious charge filed by prosecutors in domestic violence cases became more often weaker than what police authorities sought.

In 2013, the prosecutors' most serious charge was weaker than what police suggested in about one of every five domestic violence cases. In 2016, nearly one of every four cases involved weaker charges.

But in that same four-year period, prosecutors saw their charges hold up in court at about the same rate. In 2013 and 2016, about 61 percent of cases resulted in convictions where the most serious charge was similar in severity to what prosecutors filed.

3. Time behind bars less common

About 40 percent of domestic violence sentences in 2016 involved no prison or jail time — an increase from 36 percent in 2013.

The trend appears to be driven by a drop in jail-only sentences. From 2013 to 2016, the number of jail-only sentences fell from about 3,200 to nearly 1,900. Defendants were also more frequently released on probation over that period.

4. Fewer prosecutions — maybe?

About 44.6 percent of domestic violence cases that came before prosecutors in 2016 resulted in no charges filed — a 6.4 percentage point increase from 2013 that coincided with a huge drop in misdemeanor cases.

About 9,400 misdemeanor-level domestic violence cases were prosecuted in 2016 – or about 3,800 fewer than in 2013. The number of felony-level cases also fell from 2013 to 2016 but not nearly as dramatically.

One factor maybe tilting the 2016 numbers is how many cases remain "open" or possibly under review for filing charges. From 2013 to 2015, fewer than 5 percent of cases were classified as "open," but in 2016 the ratio was about 16 percent.